42589670520 has 128 divisors (see below), whose sum is σ = 129999090240. Its totient is φ = 11159408640.

The previous prime is 42589670449. The next prime is 42589670521. The reversal of 42589670520 is 2507698524.

42589670520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42589670520³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42589670520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42589670521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8730322 + ... + 8735198.

Almost surely, 2^42589670520 is an apocalyptic number.

42589670520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42589670520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64999545120).

42589670520 is an abundant number, since it is smaller than the sum of its proper divisors (87409419720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42589670520 is a wasteful number, since it uses less digits than its factorization.

42589670520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6145 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 42589670520 in words is "forty-two billion, five hundred eighty-nine million, six hundred seventy thousand, five hundred twenty".